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Finding the Fourth Proportional to 208,547.40, 312,821.10 and 103,571.40

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Solution

The fourth proportional to 208,547.40, 312,821.10 and 103,571.40 is: 155,357.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,547.40 : 312,821.10 = 103,571.40 : x
  2. Step 2: Convert to fraction form
    208,547.40/312,821.10 = 103,571.40/x
  3. Step 3: Cross multiply
    208,547.40x = 312,821.10 × 103,571.40
  4. Step 4: Simplify right side
    208,547.40x = 32,399,319,276.54
  5. Step 5: Solve for x
    x = 32,399,319,276.54/208,547.40
  6. Step 6: Final answer
    x = 155,357.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.